Ann, if you can play the first chord of the piece at a PP level, then you have all th strength you need to play the piece. I don't know how old you are, but a 10-year old has the strength (maybe not the skill) necessary to play it. (that reads as sarcastic, but its not) I say this because even a 10 year old's arm has enough weight to play the chord on each beat, and remember - you should be using your arm weight to play them, not muscles. I like to think about it in simple terms: the weight of our body plays the piano, your muscles just aim. What you need, in fact what we all need is independance, not more strength. Of course, I haven't heard you play, and I'm not saying hand strength isn't important. But you get my drift, hopefully.
Sergei Babayan has a really useful way to lighten up a fast moving leggiero-type piece. It's in two steps: First, play a few measures without actually making the keys go down. Just silently play. Then, do the same thing, but play the keys just enough to make a sound. It should be much lighter. Simple, but it works. I say this because, if I had to guess, you are playing it with much more sound than you need to, and you saying you need more strength worries me a little.
I could go on about this etude, but I don't wanna hog the board or seem pretentious.
Now, about the first etude:
HAND STUFF
Geoffrey has it exactly right. The first etude teaches you how to expand and contract your hand.
You ever play tennis? I did as a kid, and one of the things I remember being taught is to move back to the center of the court after you hit the ball. That way, you aren't standing way over to the right when they hit it to your left side. You moved to the center to be ready for anything.
Your hand has a "center court" too. It's where your hand is in its most relaxed and contracted position. Everyone's hand fits on the ball of their knees in just this very position. Unless you have a stump, hehe. Also, you imagine how your hand would be positioned while you are asleep. It would be very relaxed and contracted, kinda like a very loose fist, like a runner's fist.
The position I described in the prior two paragraphs is where you want your hand to be as much as possible.
(this stuff is hard to explain in writing, btw, so sorry for being so repetitive)
Let's talk about the first measure:
You play the C. At that moment, your (right) hand should be spread out, as if you were playing the first 4 notes together. Then, you play the G, C, and the E. By the time you reach the E, your hand should be no bigger around than a baseball. Now, repeat this idea for 10 pages.

WRIST STUFF:
First, I'll use the symbol: ^ to denote the height of your wrist.
^
^ ^
(normal) ^ ^ ^
C G C E
See? Now if you combine the raising of your wrist with the contraction of your hand, it will be no problem.
OTHER STUFF
The F and FF dynamics throughout are talking about a TOTAL, ACCUMULATIVE dynamic of F. It doesn't mean that EVERY note needs to be forte.
Ok, that's enough outta me.
Robert Henry
https://www.roberthenry.org